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A fruit seller buys some oranges and by selling 40% of them he realizes the cost price of all the oranges. As the oranges being to grow over-ripe, he reduces the price and sells 80% of the remaining oranges at half the previous rate of profit. The rest of the oranges being rotten are thrown away. The overall percentage of profit is:

a) 80
b) 84
c) 94
d) 96

Answer: b
Explanation: Let fruit seller buys 100 oranges for Rs. 100
On selling of 40% of the oranges he realizes his cost price i.e. He sells 40 oranges for Rs. 100
Profit on 40 Oranges = 100 – 40 = Rs. 60
% profit on 40 oranges = $$\frac{{60 \times 100}}{{40}}$$   = 150%
Now, he sells 80% of 60 oranges on half of the previous profit i.e. 48 oranges, he sells at 75% of profit
SP of 48 oranges = 48 + 75% of 48 = 84
12 was rotten so he threw away.
Total SP = 100 + 84 = Rs. 184
Profit = 184 – 100 = 84
%Profit = 84%

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